263713968 has 200 divisors, whose sum is σ = 894838560. Its totient is φ = 73405440.

The previous prime is 263713963. The next prime is 263713973. The reversal of 263713968 is 869317362.

263713968 is a `hidden beast` number, since 2 + 637 + 1 + 3 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (263713963) and next prime (263713973).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (263713963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371598 + ... + 372306.

Almost surely, 2^263713968 is an apocalyptic number.

263713968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447419280).

263713968 is an abundant number, since it is smaller than the sum of its proper divisors (631124592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263713968 is a wasteful number, since it uses less digits than its factorization.

263713968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 263713968 is about 16239.2723974937. The cubic root of 263713968 is about 641.2751011001.

The spelling of 263713968 in words is "two hundred sixty-three million, seven hundred thirteen thousand, nine hundred sixty-eight".